a. What LP model is the best describe from the given problem? b. How many pairs of downhill skis should the company produce to maximize the profit? c. How many pairs of crosscounty skis should the company produce to maximize the profit? d. How much is the optimal maximum profit? Charot Polar Products makes downhill and crosscountry skis. A pair of downhill skis requires1 man-hour for cutting, 2 man-hours for shaping and 1 man-hour for finishing while a pair ofcrosscountry skis requires 1 man-hour for cutting, 1 man-hour for shaping and 3 man-hoursfor finishing. Each day the company has available 50 man-hours for cutting, 60 man-hoursfor shaping and 58 man-hours for finishing. How many pairs of each type of ski should thecompany manufacture each day in order to maximize profit if a pair of downhill skis yields aprofit of 5 and a pair of cross-country skis yields a profit of 4? (Let x be the pairs of downhillskis and y be the pairs of crosscounty skis.)2x+y=60(0, 60)600504030820.100-10(0, 50)(0, 19.33)(0, 0)(10, 40)1020(24.4, 11.2)(30, 0)3040(46, 4)(50,0) (58, 0)6070x+3y=58x + y = 50

Linear programming is one of the mathematical techniques that is widely used by companies. This…

a. What LP model is the best describe from the given problem? b. How many pairs of downhill skis should the company produce to maximize the profit? c. How many pairs of crosscounty skis should the company produce to maximize the profit? d. How much is the optimal maximum profit?

a. What LP model is the best describe from the given problem? b. How many pairs of downhill skis should the company produce to maximize the profit? c. How many pairs of crosscounty skis should the company produce to maximize the profit? d. How much is the optimal maximum profit?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

a. What LP model is the best describe from the given problem?
b. How many pairs of downhill skis should the company produce to maximize the profit?
c. How many pairs of crosscounty skis should the company produce to maximize the profit?
d. How much is the optimal maximum profit?

Charot Polar Products makes downhill and crosscountry skis. A pair of downhill skis requires
1 man-hour for cutting, 2 man-hours for shaping and 1 man-hour for finishing while a pair of
crosscountry skis requires 1 man-hour for cutting, 1 man-hour for shaping and 3 man-hours
for finishing. Each day the company has available 50 man-hours for cutting, 60 man-hours
for shaping and 58 man-hours for finishing. How many pairs of each type of ski should the
company manufacture each day in order to maximize profit if a pair of downhill skis yields a
profit of 5 and a pair of cross-country skis yields a profit of 4? (Let x be the pairs of downhill
skis and y be the pairs of crosscounty skis.)
2x+y=60
(0, 60)
600
50
40
30
8
20.
10
0
-10
(0, 50)
(0, 19.33)
(0, 0)
(10, 40)
10
20
(24.4, 11.2)
(30, 0)
30
40
(46, 4)
(50,0) (58, 0)
60
70
x+3y=58
x + y = 50

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